6 citations · 8 across the 3 of their papers we have counts for
3 papers
math.AP2015★ 1 cited
Lagrangian solutions to the 2D euler system with L^1 vorticity and infinite energy
Anna Bohun, Francois Bouchut, Gianluca Crippa
We consider solutions to the two-dimensional incompressible Euler system with only integrable vorticity, thus with possibly locally infinite energy. With such regularity, we use th…
math.AP2014★ 6 cited
Lagrangian solutions to the Vlasov-Poisson system with L^1 density
Anna Bohun, Gianluca Crippa, Francois Bouchut
The recently developed theory of Lagrangian flows for transport equations with low regularity coefficients enables to consider non BV vector fields. We apply this theory to prove e…
math.AP2014★ 1 cited
Lagrangian flows for vector fields with anisotropic regularity
Anna Bohun, Francois Bouchut, Gianluca Crippa
We prove quantitative estimates for flows of vector fields subject to anisotropic regularity conditions: some derivatives of some components are (singular integrals of) measures, w…